Lim X → 0 Sin 3 X + 7 X 4 X + Sin 2 Xv - Mathematics

प्रश्न

$lim_{x \to 0} \frac{\sin 3 x + 7 x}{4 x + \sin 2 x}$

उत्तर

$lim_{x \to 0} [\frac{\sin 3 x + 7 x}{4 x + \sin 2 x}]$
$= lim_{x \to 0} [\frac{\frac{\sin 3 x}{3 x} \times 3 x + 7 x}{4 x + \frac{\sin 2 x}{2 x} \times 2 x}]$
$= lim_{x \to 0} [\frac{(\frac{\sin 3 x}{3 x} \times 3 + 7) x}{(4 + \frac{\sin 2 x}{2 x} \times 2) x}]$
$= \frac{3 + 7}{4 + 2}$
$= \frac{10}{6} = \frac{5}{3}$

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Concept of Limits - Algebra of Limits

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Q 54 Q 53 Q 55

पाठ 29: Limits - Exercise 29.7 [पृष्ठ ५१]

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आरडी शर्मा Mathematics [English] Class 11

पाठ 29 Limits
Exercise 29.7 | Q 54 | पृष्ठ ५१

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Concept of Limits - Algebra of Limits

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Lim X → 0 Sin 3 X + 7 X 4 X + Sin 2 Xv - Mathematics

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Lim X → 0 Sin 3 X + 7 X 4 X + Sin 2 Xv - Mathematics

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